To convert the scale of the drawing, we need to understand the relationship between the original scale and the new scale.
The original rectangle has a width of 2 boxes, and each box represents 15 feet. Therefore, the actual width in feet is: \[ \text{Width in feet} = 2 \text{ boxes} \times 15 \text{ feet/box} = 30 \text{ feet}. \]
Now, we want to convert this width to the new scale where 1 box represents 5 feet. To find out how many boxes this 30 feet corresponds to in the new scale, we divide the total width in feet by the new scale value (5 feet per box): \[ \text{New width in boxes} = \frac{30 \text{ feet}}{5 \text{ feet/box}} = 6 \text{ boxes}. \]
Thus, the width in boxes of the new scale drawing will be 6 boxes.